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Finding the Fourth Proportional to 194.40, 268.15 and 152.89

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Solution

The fourth proportional to 194.40, 268.15 and 152.89 is: 210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.40 : 268.15 = 152.89 : x
  2. Step 2: Convert to fraction form
    194.40/268.15 = 152.89/x
  3. Step 3: Cross multiply
    194.40x = 268.15 × 152.89
  4. Step 4: Simplify right side
    194.40x = 40,997.45
  5. Step 5: Solve for x
    x = 40,997.45/194.40
  6. Step 6: Final answer
    x = 210.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.